2105440000 has 90 divisors (see below), whose sum is σ = 5252037560. Its totient is φ = 842112000.

The previous prime is 2105439997. The next prime is 2105440009. The reversal of 2105440000 is 445012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153421 + ... + 166579.

Almost surely, 2^2105440000 is an apocalyptic number.

2105440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626018780).

2105440000 is an abundant number, since it is smaller than the sum of its proper divisors (3146597560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2105440000 is an frugal number, since it uses more digits than its factorization.

2105440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195 (or 13166 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2105440000 is about 45885.0738258096. The cubic root of 2105440000 is about 1281.6839814813.

Adding to 2105440000 its reverse (445012), we get a palindrome (2105885012).

The spelling of 2105440000 in words is "two billion, one hundred five million, four hundred forty thousand".